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Finding the Third Proportional to 63,728 and 89,134

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Solution

The third proportional to 63,728 and 89,134 is: 124,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,728 : 89,134 = 89,134 : x
  2. Step 2: Convert to fraction form
    63,728/89,134 = 89,134/x
  3. Step 3: Cross multiply
    63,728x = 89,134 × 89,134
  4. Step 4: Simplify right side
    63,728x = 7,944,869,956
  5. Step 5: Solve for x
    x = 7,944,869,956/63,728
  6. Step 6: Final answer
    x = 124,668.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.